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Finding the Fourth Proportional to 837.74, 1,155.66 and 506.18

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Solution

The fourth proportional to 837.74, 1,155.66 and 506.18 is: 698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.74 : 1,155.66 = 506.18 : x
  2. Step 2: Convert to fraction form
    837.74/1,155.66 = 506.18/x
  3. Step 3: Cross multiply
    837.74x = 1,155.66 × 506.18
  4. Step 4: Simplify right side
    837.74x = 584,971.98
  5. Step 5: Solve for x
    x = 584,971.98/837.74
  6. Step 6: Final answer
    x = 698.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.